Euclid's Construction of a Regular Dodecahedron (XIII.17)

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Let and be the centers of the two adjacent cube faces and with common side , and let , , , and be the midpoints of , , , and .


, , and are points that satisfy the golden section conditions , , and .

and are perpendicular to , is perpendicular to , and .

is one face of a regular dodecahedron.

The other faces are constructed in the same way.


Contributed by: Milana Dabic (March 2011)
Open content licensed under CC BY-NC-SA


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